Decay at infinity of solutions to higher order partial differential equations: Removal of the curvature assumption

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1970 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 8, pages 403-407 (issn: 0021-2172, eissn: 1565-8511,

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Authors: Littman, Walter;

doi: 10.1007/bf02798687

Decay at infinity of solutions to higher order partial differential equations: Removal of the curvature assumption

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Abstract

In an earlier paper a generalization of Rellich’s theorem on the Helmholz equation was obtained for a large class of higher order equationsP(1/i∂/∂x)u=f, subject to the condition that the Gaussian curvature ofP(ξ)=0 never vanish. This restriction is removed in this note.

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University of Minnesota Morris
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University of Minnesota
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Keywords

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

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